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Finding the Fourth Proportional to 289,984.90, 434,977.35 and 278,320.90

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Solution

The fourth proportional to 289,984.90, 434,977.35 and 278,320.90 is: 417,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,984.90 : 434,977.35 = 278,320.90 : x
  2. Step 2: Convert to fraction form
    289,984.90/434,977.35 = 278,320.90/x
  3. Step 3: Cross multiply
    289,984.90x = 434,977.35 × 278,320.90
  4. Step 4: Simplify right side
    289,984.90x = 121,063,287,531.62
  5. Step 5: Solve for x
    x = 121,063,287,531.62/289,984.90
  6. Step 6: Final answer
    x = 417,481.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.